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11001311112132 = 22331152117774209
BaseRepresentation
bin1010000000010111000100…
…1111011010101111000100
31102221201022021202002001000
42200011301033122233010
52420221141121042012
635221533233133300
72213550513354555
oct240056117325704
942851267662030
1011001311112132
1135616a2356960
1212981649ba230
1361a55ac4cb53
142a067574a32c
15141281841ddc
hexa01713dabc4

11001311112132 has 96 divisors (see below), whose sum is σ = 31174542403200. Its totient is φ = 3327331737600.

The previous prime is 11001311112119. The next prime is 11001311112133. The reversal of 11001311112132 is 23121111310011.

11001311112132 is a `hidden beast` number, since 110 + 0 + 1 + 311 + 112 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11001311112133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8268157 + ... + 9506052.

It is an arithmetic number, because the mean of its divisors is an integer number (324734816700).

Almost surely, 211001311112132 is an apocalyptic number.

11001311112132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11001311112132 is an abundant number, since it is smaller than the sum of its proper divisors (20173231291068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11001311112132 is a wasteful number, since it uses less digits than its factorization.

11001311112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17774754 (or 17774746 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11001311112132 its reverse (23121111310011), we get a palindrome (34122422422143).

The spelling of 11001311112132 in words is "eleven trillion, one billion, three hundred eleven million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 521 594 1042 1188 1563 2084 3126 4689 5731 6252 9378 11462 14067 17193 18756 22924 28134 34386 51579 56268 68772 103158 154737 206316 309474 618948 17774209 35548418 53322627 71096836 106645254 159967881 195516299 213290508 319935762 391032598 479903643 586548897 639871524 782065196 959807286 1173097794 1759646691 1919614572 2346195588 3519293382 5278940073 7038586764 9260362889 10557880146 18520725778 21115760292 27781088667 37041451556 55562177334 83343266001 101863991779 111124354668 166686532002 203727983558 250029798003 305591975337 333373064004 407455967116 500059596006 611183950674 916775926011 1000119192012 1222367901348 1833551852022 2750327778033 3667103704044 5500655556066 11001311112132